Due the school day after we cover the lesson in class
9-1: Andrew E. and August S.
9-2: Matt B. and Max P.
9-3: Kale B.
9-4: Adam B. and Spenser P.
9-5: Jordan S. and Joey S.
9-6: Chrisla F. (Bonus) and Jordan J.
(Bonus)
9-7: Max P. (Bonus) and August S. (Bonus)
9-8: Andrew E. (Bonus) and Jordan S. (Bonus)
Student Summaries:
In lesson 9-1 we learned about how to add and subtract polynomials. We defined different terms such as monomials, which is a expressions that has one term and can be a number, variable, or product of a number and can be more than one variables with whole number exponents. The coefficient is a number w a variable, and a constant is a number without a variable. Polynomial are terms combined with addition or subtraction. A term is when each monomial has a polynomial within it. A polynomial with two terms is a binomial, and a trinomial is a polynomial with three terms. Every polynomial should be written in standard form from the highest to lowest, and terms with same variable parts are called like terms. You arrange polynomials in descending order which is the highest exponent fro the variable listed.
-Andrew E.
August S. -
We learned about adding and subtracting polynomials...we learned about terms...mononmials have one term...polynomial is the sum or difference of monomials.
Student Summaries:
In this lesson we learned how to multiply monomials. This really isn't that hard, if you know how to simplify then you will have no trouble with this lesson. Let's look at an example,
(5x)(7y), to solve this problem you first start by multiplying the 5 and 7, you will get 35. Next you just take the x and y and put them into alphabetical order so your final answer would be 35xy. Now lets look at a problem that has exponents, lets look at this problem, (5e^2)(-6e^3) first you would multiply the 5 and -6 together to get -30. Next you will need to combine like terms, now since they are being multiplied you have to add the exponents, 2+3, you final answer will come out to be -30e^5. Lets take a look at a problem that has more than one exponent. Lets look at (4m^2n^3)(-3mn^4p), once again you will need to multiply the 4 and -3 to get -12. Now that you have more than once exponent you will need to combine like terms, since you have m^2 and m you will add 2+1 to get 3, and you will take the n^3 and n^4 you will add the 3 and 4 to get 7. Now you final answer will be -12m^3n^7p. - Max P. and Matt B.
Student Summaries:
Kale B. hey guys its kale, we learned how to divide by monomials, this is just like normal division but only when you divide you subtract the variables, such as 45mn/5m= 9n. see what i did, know if you have a equation like this 45m^3n^5/5mn^3 you subtract as well getting 9m^2n^2. its just normal division with the subtraction of variables, oh and if you have an exponent like 45mn^7/5mn^3 you subtract the exponent as well resulting in the end as 9n^4. its not hard just have to get used to the subtraction that comes with the division.
Student Summaries: Sup, peeps. This lesson in a nutshell is the next level of distribution. Instead of just numbers, your now distributing variables. If the variable outside the parenthesis is a like term; you add the exponents. Then when your done put the numbers and variables in order. -Spenser P.
Adam B.
Student Summaries:
Jordan S. Lesson 9-5 is on Multiply Binomials and the method to distributing the numbers to each term then simplifying with the biggest exponent first, followed by the next variable in alphebeticle order. And then we were showed how to set a binomial into a verticle set to multiply those two terms.
Joey S. - This lesson was on how to distribute the numbers between to binomails and then how to simplify the anwser you get after you distribute the numbers. we also learned about f.o.i.l, and how to set up the binomail up in a vertical multiply set.
Student Summaries:
In this lesson we learned how we can working backward,to find the beginning of amount,work backwards from the end by reversing each step. - Chrisla F
Jordan J.
Student Summaries:
Andrew E. The title of this lesson is perfect squares and difference of squares, were we learned to factor perfect square trinomials, and factor difference of perfect squares. The result of squaring a binomial is a trinomial, which is called a perfect square trinomial. There is a pattern that shows you if it is a perfect square: The first term is a perfect square, the last term is a perfect square, and the middle term is twice the product of the square roots of the first and last terms. An example would be x+ 14x + 49 and this fits the pattern making it a perfect square trinomial. A polynomial that can be factored into two binomials with the same terms but different signs inbetween. If you can see that it's a poylnomial of two difference perfect squares, you can work backwards to find the factors. To factor a defference of two squares, write the two binomials using the square roots of the terms. Make one binomial a sum and the other a difference.
Jordan S.
Table of Contents
Chapter 9: Polynomials
Preview: Chapter 9 Preview 0910.pdfWiki Summary Assignments
Due the school day after we cover the lesson in class9-1: Andrew E. and August S.
9-2: Matt B. and Max P.
9-3: Kale B.
9-4: Adam B. and Spenser P.
9-5: Jordan S. and Joey S.
9-6: Chrisla F. (Bonus) and Jordan J.
(Bonus)
9-7: Max P. (Bonus) and August S. (Bonus)
9-8: Andrew E. (Bonus) and Jordan S. (Bonus)
9-1: Add and Subtract Polynomials
Notes: Section 9-1 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
In lesson 9-1 we learned about how to add and subtract polynomials. We defined different terms such as monomials, which is a expressions that has one term and can be a number, variable, or product of a number and can be more than one variables with whole number exponents. The coefficient is a number w a variable, and a constant is a number without a variable. Polynomial are terms combined with addition or subtraction. A term is when each monomial has a polynomial within it. A polynomial with two terms is a binomial, and a trinomial is a polynomial with three terms. Every polynomial should be written in standard form from the highest to lowest, and terms with same variable parts are called like terms. You arrange polynomials in descending order which is the highest exponent fro the variable listed.
-Andrew E.
August S. -
We learned about adding and subtracting polynomials...we learned about terms...mononmials have one term...polynomial is the sum or difference of monomials.
9-2: Multiply Monomials
Notes: Section 9-2 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
In this lesson we learned how to multiply monomials. This really isn't that hard, if you know how to simplify then you will have no trouble with this lesson. Let's look at an example,
(5x)(7y), to solve this problem you first start by multiplying the 5 and 7, you will get 35. Next you just take the x and y and put them into alphabetical order so your final answer would be 35xy. Now lets look at a problem that has exponents, lets look at this problem, (5e^2)(-6e^3) first you would multiply the 5 and -6 together to get -30. Next you will need to combine like terms, now since they are being multiplied you have to add the exponents, 2+3, you final answer will come out to be -30e^5. Lets take a look at a problem that has more than one exponent. Lets look at (4m^2n^3)(-3mn^4p), once again you will need to multiply the 4 and -3 to get -12. Now that you have more than once exponent you will need to combine like terms, since you have m^2 and m you will add 2+1 to get 3, and you will take the n^3 and n^4 you will add the 3 and 4 to get 7. Now you final answer will be -12m^3n^7p. - Max P. and Matt B.
9-3: Divide by a Monomial
Notes: Section 9-3 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
Kale B. hey guys its kale, we learned how to divide by monomials, this is just like normal division but only when you divide you subtract the variables, such as 45mn/5m= 9n. see what i did, know if you have a equation like this 45m^3n^5/5mn^3 you subtract as well getting 9m^2n^2. its just normal division with the subtraction of variables, oh and if you have an exponent like 45mn^7/5mn^3 you subtract the exponent as well resulting in the end as 9n^4. its not hard just have to get used to the subtraction that comes with the division.
9-4: Multiply a Polynomial by a Monomial
Notes: Section 9-4 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries: Sup, peeps. This lesson in a nutshell is the next level of distribution. Instead of just numbers, your now distributing variables. If the variable outside the parenthesis is a like term; you add the exponents. Then when your done put the numbers and variables in order. -Spenser P.
Adam B.
9-5: Multiply Binomials
Notes:Section 9-5 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
Jordan S. Lesson 9-5 is on Multiply Binomials and the method to distributing the numbers to each term then simplifying with the biggest exponent first, followed by the next variable in alphebeticle order. And then we were showed how to set a binomial into a verticle set to multiply those two terms.
Joey S. - This lesson was on how to distribute the numbers between to binomails and then how to simplify the anwser you get after you distribute the numbers. we also learned about f.o.i.l, and how to set up the binomail up in a vertical multiply set.
9-6: Problem Solving Skills: Work Backward
Notes: Section 9-6 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
In this lesson we learned how we can working backward,to find the beginning of amount,work backwards from the end by reversing each step. - Chrisla F
Jordan J.
9-7: Factor Using Greatest Common Factor (GCF)
Notes: Section 9-7 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
Max P.
August S.
9-8: Perfect Squares and Difference of Squares
Notes: Section 9-8 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
Andrew E. The title of this lesson is perfect squares and difference of squares, were we learned to factor perfect square trinomials, and factor difference of perfect squares. The result of squaring a binomial is a trinomial, which is called a perfect square trinomial. There is a pattern that shows you if it is a perfect square: The first term is a perfect square, the last term is a perfect square, and the middle term is twice the product of the square roots of the first and last terms. An example would be x + 14x + 49 and this fits the pattern making it a perfect square trinomial. A polynomial that can be factored into two binomials with the same terms but different signs inbetween. If you can see that it's a poylnomial of two difference perfect squares, you can work backwards to find the factors. To factor a defference of two squares, write the two binomials using the square roots of the terms. Make one binomial a sum and the other a difference.
Jordan S.
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